Extremal argument — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses extremal argument — a problem-solving techniques concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
All of these problems are used with official legal permission of the Mathematical Association of America (MAA).
AMC 8
1988 AMC 8 Problem 16 · 1991 AMC 8 Problem 6 · 1991 AMC 8 Problem 14 · 1991 AMC 8 Problem 19 · 1992 AMC 8 Problem 19 · 2012 AMC 8 Problem 17 · 2019 AMC 8 Problem 19 · 2024 AMC 8 Problem 7 · 2024 AMC 8 Problem 16 · 2025 AMC 8 Problem 15 · 2026 AMC 8 Problem 22
AMC 10
2002 AMC 10A Problem 21 · 2005 AMC 10B Problem 25 · 2008 AMC 10B Problem 4 · 2012 AMC 10B Problem 15 · 2016 AMC 10B Problem 6 · 2018 AMC 10A Problem 17 · 2019 AMC 10A Problem 4 · 2019 AMC 10A Problem 5 · 2022 AMC 10B Problem 14 · 2022 AMC 10B Problem 24 · 2023 AMC 10B Problem 10 · 2024 AMC 10A Problem 20 · 2024 AMC 10B Problem 12 · 2025 AMC 10A Problem 21
AMC 12
2002 AMC 12A Problem 15 · 2008 AMC 12B Problem 3 · 2010 AMC 12B Problem 6 · 2010 AMC 12B Problem 14 · 2012 AMC 12A Problem 17 · 2013 AMC 12B Problem 17 · 2015 AMC 12B Problem 5 · 2018 AMC 12A Problem 12 · 2021 AMC 12A Fall Problem 16 · 2021 AMC 12B Fall Problem 14 · 2023 AMC 12B Problem 5 · 2025 AMC 12A Problem 13 · 2025 AMC 12A Problem 15
AIME
2001 AIME II Problem 5 · 2002 AIME I Problem 14 · 2003 AIME II Problem 12 · 2004 AIME I Problem 5 · 2006 AIME I Problem 2 · 2008 AIME II Problem 10 · 2009 AIME I Problem 13 · 2009 AIME II Problem 12 · 2010 AIME I Problem 12 · 2022 AIME I Problem 7 · 2024 AIME II Problem 9 · 2026 AIME I Problem 11 · 2026 AIME I Problem 15